\(h\)-vectors of small matroid complexes (Q426768)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: \(h\)-vectors of small matroid complexes |
scientific article; zbMATH DE number 6045638
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(h\)-vectors of small matroid complexes |
scientific article; zbMATH DE number 6045638 |
Statements
\(h\)-vectors of small matroid complexes (English)
0 references
12 June 2012
0 references
Summary: Stanley conjectured in 1977 that the \(h\)-vector of a matroid simplicial complex is a pure \(O\)-sequence. We give simple constructive proofs that the conjecture is true for matroids of rank less than or equal to 3, and corank 2. We used computers to verify that Stanley's conjecture holds for all matroids on at most nine elements.
0 references
\(h\)-vector of a matroid simplicial complex
0 references
